Question

An industrial plant has two reservoirs that are used to temporarily store fluid $A$ and fluid $B$. Each reservoir is equipped with two sensors: one detects the incoming flow rate and the other detects the fluid level. Assume the flow rate sensor outputs are low when the flow rate is satisfactory and high when the flow rate is too high. In addition, assume the fluid level sensor outputs are low when the fluid level is satisfactory and high when the level is too high. Design a detector circuit that will produce a high output whenever the fluid level in either or both reservoirs is too high and the flow rate for either of both reservoirs is too high.

   An industrial plant has two reservoirs that are used to temporarily store fluid $A$ and fluid $B$. Each reservoir is equipped with two sensors: one detects the incoming flow rate and the other detects the fluid level. Assume the flow rate sensor outputs are low when the flow rate is satisfactory and high when the flow rate is too high. In addition, assume the fluid level sensor outputs are low when the fluid level is satisfactory and high when the level is too high. Design a detector circuit that will produce a high output whenever the fluid level in either or both reservoirs is too high and the flow rate for either of both reservoirs is too high.
 
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Essentials of Electrical and Computer Engineering
Essentials of Electrical and Computer Engineering
David V. Kerns, Jr.,… 1st Edition
Chapter 13, Problem 45 ↓

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The inputs are the outputs from the flow rate sensors and fluid level sensors for both reservoirs. Specifically, we have: - Flow rate sensor for Reservoir A (F_A) - Fluid level sensor for Reservoir A (L_A) - Flow rate sensor for Reservoir B (F_B) - Fluid level  Show more…

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An industrial plant has two reservoirs that are used to temporarily store fluid $A$ and fluid $B$. Each reservoir is equipped with two sensors: one detects the incoming flow rate and the other detects the fluid level. Assume the flow rate sensor outputs are low when the flow rate is satisfactory and high when the flow rate is too high. In addition, assume the fluid level sensor outputs are low when the fluid level is satisfactory and high when the level is too high. Design a detector circuit that will produce a high output whenever the fluid level in either or both reservoirs is too high and the flow rate for either of both reservoirs is too high.
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Key Concepts

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Combinational Circuit Design
Combinational circuit design focuses on creating circuits where the output is solely determined by the current inputs, without any memory elements. This approach is critical in applications requiring immediate responses to certain conditions, such as in fault or alarm detection systems.
Boolean Algebra
Boolean algebra provides the mathematical framework for expressing and manipulating binary variables using operations like AND, OR, and NOT. It is fundamental in designing digital circuits by allowing complex logical conditions to be simplified and efficiently implemented.
Logic Gates
Logic gates are the basic components used to implement Boolean functions in hardware. They execute operations such as AND, OR, and NOT, which are used to combine sensor signals and create decision-making circuits in digital system designs.
Sensor Integration
Sensor integration involves combining multiple sensor outputs to monitor and control systems effectively. This concept is important as it encompasses the methodology of fusing different binary signals (e.g., from sensors measuring various parameters) to trigger appropriate responses.
Threshold Detection
Threshold detection is the process of comparing measured sensor values against predefined criteria to generate binary signals. This allows for the system to discern when certain conditions are met (such as an excessive level or rate), facilitating automated response mechanisms.

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Four sensors are installed in two large tanks at a chemical plant which contain different liquids being heated. Liquid-level sensors are being used to detect whenever the level in tank A or tank B rises above a predetermined level. Temperature sensors detect when the temperature in tank A or tank B drops below a prescribed temperature limit. Design a logic circuit that will detect whenever the liquid levels in tank A and tank B are too high at the same time or the temperatures in both tanks are too low at the same time.

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'11. Four big tanks in a chemistry industry contains different liquids being heated. There are liquids level sensors in order to detect always when the level in the tank A ou B goes above certain level: The temperature sensors in the tanks C and D detect when the temperature of one of them goes below determined limit: Suppose that the outputs A and B will be LOW, with the satisfactory level and it will be HIGH, when the level goes too high: Also, the outputs Cand D of the temperature sensors will be LOW, with the satisfactory temperature; and it will HIGH, when it gets too low: Project a simplified logic circuit that detects always that a level in the tank A or B gets high, at the same time that the temperature in one of the tanks C or D gets too low.'

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